Answer:
The probability he will roll a 5 is 0.167.
Step-by-step explanation:
Minh has a 6-number cube it has a different number on each side.
The number on each side are: 4, 5, 6, 7, 8 or 9.
As there are different number on each face of the cube, on every roll the possible outcomes are:
S = {4, 5, 6, 7, 8 or 9}
n (S) = 6
The probability of an event E is the ratio of the favorable number f outcomes to the total number of outcomes.
\(P(E)=\frac{n}{N}\)
Compute the probability of rolling a 5 as follows:
\(P(E)=\frac{n}{N}\\P(5)=\frac{1}{6}\\=0.167\)
Thus, the probability he will roll a 5 is 0.167.
The number of cell phones that employees at a factory can assemble is directly proportional to the number of hours the employees spend assembling cell phones. The employees can assemble 1,576 cell phones in 8 hours. If these employees continue to work at the same rate, how many cell phones will they assemble in 53 hours?
Answer:
10441
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
1576/8=197
197 cellphones made per hour
197*53=10441
Answer:
10,441
Step-by-step explanation:
HELP ME PLS
100 POINTS
Answer: \(\frac{2x+1}{2x-1}\)
Step-by-step explanation:
First, we try to do the first thing. \((\frac{x}{x+1}+\frac{x+1}{x+1} )\). We know that, \(1 = \frac{x+1}{x+1}\) so this statement is true. Now, we add. \(\frac{2x+1}{x+1} . \frac{1+x}{2x-1}\). We can now simplify \(x+1\) and get \(\frac{2x+1}{2x-1}\). Please give me the brainiest.
hi there just want to say hi
Answer:
hi
Step-by-step explanation:
which function will have the greatest value at
\(x = 16 \)
\( y = {10}^{16} \)
\(y = {x}^{2} - 17x + 182\)
\(y = {1.17}^{x} \)
The function that would have the greatest value at x = 16 include the following: B. y = x² - 17x + 182.
How to determine the corresponding output value for the given function?In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.
In this exercise, we would determine the corresponding output value for this function of y based on the x-value (x = 16) in simplified form as follows;
\(y = 10^{16}\)
y = 10,000,000,000,000,000.
y = x² - 17x + 182
y = 16² - 17(16) + 182
y = 256 - 272 + 182
y = 166.
\(y = 1.17^x\\\\y = 1.17^{16}\)
y = 12.330304108137675851908392069373.
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a farmer has two types of milk, one that is 28% butterfat and another that is 16% butterfat. how many gallons of each should be combined to create a 60-gallon mixture that is 22.5% butterfat?
30 gallons of 28% butterfat and 30 gallons of 16% butterfat should be combined to create a 60-gallon mixture that is 22 % butterfat.
Let x gallon of 28% butterfat mixed with the y gallon of 16% butterfat to obtain 60 gallons of 22.5% butterfat,
⇒ x + y = 60 ⇒ x = 60 - y ----(1),
Quantity of butterfat in x gallon + quantity of butterfat in y gallon = total quantity of butterfat,
⇒ 28% of x + 16% of y = 22% of 60
⇒ 0.28x + 0.16y = 0.22 × 60
⇒ 0.28x + 0.16y = 13.2
⇒ 28x + 16y = 1320
⇒ 14x + 8y = 660
From equation (1),
14(60-y) + 8y = 660
840 - 14y + 8y = 660
6y = 180
y = 30
Again from equation (1),
x = 60 - y
= 60 - 30
= 30
Hence, 30 gallons of 28% butterfat and 30 gallons of 16% butterfat are combined to create a 60-gallon mixture that is 22%
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Charlie is watching hot air balloons. Balloon A has risen at a 56° angle. Balloon B has risen at an 81° angle. If the distance from balloon A to the ground is 1,200 feet, how far is balloon B from balloon A? Round your answer to the nearest whole number. Two points labeled Balloon A and Balloon B are connected to a point labeled Charlie, which is on a straight line labeled ground. A dashed line connects point Balloon A to line Ground; another dashed line connects point Balloon B to line ground; both dashed lines form a right angle with line Ground; the angle formed from point Balloon A, point Charlie, and line ground measures x degrees; and the angle formed by point Balloon B, point Charlie, and line Ground measures y degrees.
A) 999 feet
B) 1,005 feet
C) 1,052 feet
D) 1,102 feet
The distance between Balloon B and Balloon A is 999 feet (correct to the nearest whole number); that is, Balloon B is 999 feet from balloon A
The diagram for the question is shown as described in the question in the attachment below.
From the diagram,
Let the height from balloon A to the ground be /AG/ and the height from balloon B to the ground be /BD/ and the point where Charlie is be C
/AG/ = 1200 feet
/AG/ = /BD/ = 1200 feet ( as shown in the diagram)
The distance between the two balloons is equal to /GD/
Also, from the diagram, /GD/ = /GC/ + /CD/
To find /GC/,
Consider ΔAGC
/AG/ = 1200 feet
/GC/ = ?
From the question, "Balloon A has risen at a 56° angle"
∴ x° = 56°
Using the formula
\(tan(x^{o} ) = \frac{/AG/}{/GC/}\)
\(tan(56^{o}) = \frac{1200}{/GC/}\)
\(/GC/ = \frac{1200}{tan(56^{o}) }\)
/GC/ = 809.41 feet
To find /CD/
Consider ΔBCD
/BD/ = 1200 feet
/CD/ = ?
From the question, "Balloon B has risen at a 81° angle"
∴ y° = 81°
Using the formula
\(tan(y^{o} ) = \frac{/BD/}{/CD/}\)
\(tan(81^{o}) = \frac{1200}{/CD/}\)
\(/CD/ = \frac{1200}{tan(81^{o}) }\)
/CD/ = 190.06 feet
Now, recall that /GD/ = /GC/ + /CD/
∴ /GD/ = 809.41 feet + 190.06 feet
/GD/ = 999.47 feet
/GD/ ≅ 999 feet (to the nearest whole number)
Hence, the distance between the two balloons is 999 feet
Balloon B is 999 feet from balloon A.
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Answer:
999 Units
Step-by-step explanation:
which is greater 9.24 or 9.058
Answer:
it would be 9.24
Step-by-step explanation:
;)
Answer:
9.24
Step-by-step explanation:
9.24
will be the answer
A person draws a card from a hat. Each card is one color, with the following
probabilities of being drawn: 1/25 for blue, 1/15 for yellow, 1/10 for green, and
1/20 for white. What is the probability of pulling a green or yellow card, written
as a reduced fraction?
FU
Answer:
1/6
Step-by-step explanation:
1/15 yellow, 1/10 green, and 1/20 white
1/15 + 1/10 is the probability for yellow or green.
2/30 + 3/30 = 5/30 = 1/6
Brainliest, please :)
PLEASE HURRY!!!!!
Here is a hanger diagram. With a hanger diagram, when the diagram is balanced, there is equal weight on each side. Write an equation to represent the hanger. (Do NOT put spaces in your answer.)
Answer:
x = 8
x = 3
x = 2
x = 1
x = 1
x = 2
x + x+ x+ x+ x+ 2 = 17
try any number
You borrow $384 from a Loan Shark, there is an interest rate of 5%. That rate makes your payment larger every month that you miss. You haven't paid your Loan Shark in 4 months, how much do you owe them in total?
Answer:
You owe them $441.60
Step-by-step explanation:
384 + 15% = 441.6
A three-column table is given.
Part 8 B D
Part 10 15 45
Whole A C 72
What is the value of C in the table?
18
24
27
71
The value of C in the table will be 24.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given, a table of proportional data below,
Part 8 B D
Part 10 15 45
Whole A C 72
Since the two-part will be proportional to the whole.
thus,
=> c /72 = 15/45
=> C = 72/3
=> C = 24
Therefore, the value of C in the given table will be 24 as pe the proportionality.
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HELP PLS BEGGIN YOU
Answer: 2/1
Step-by-step explanation:
Answer:
2/1 po
Step-by-step explanation:
what is the value of expression 3/7 divide by 3/4
A 1/2
B 9/14
C 4/7
D 46/21 i have two mins left please help
Answer:
You're answer is 4/7
Step-by-step explanation:
I hope this helps!
Kevin's bank deducts a service fee from his account every month.
In one year, the bank deducts a total of $90 in fees. Twice each
month, Kevin's paycheck is directly deposited into his account.
The amount of each paycheck is $1,150. Which expression
represents the monthly change in Kevin's bank account?
The expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50
How to find the expressionIn one year, which has 12 months, the bank deducts a total of $90 in fees. To find the monthly change in Kevin's bank account, we need to divide this total by 12:
Monthly service fee = $90 / 12 = $7.50
Kevin's paycheck is deposited twice each month, so his total monthly income from his paychecks is:
Monthly income = 2 * $1,150 = $2,300
Therefore, Kevin's monthly change in his bank account is:
Monthly change = Monthly income - Monthly service fee
Monthly change = $2,300 - $7.50 = $2,292.50
So the expression that represents the monthly change in Kevin's bank account is $2,300 - $7.50 = $2,292.50
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(If A + B + C = 180, prove that): sin(B + 2C) + sin(C + 2A) + sin(A + 2B) = 4sin(A-B)/2.cos(B-C)/2.,cos(C-A)/2
Using trigonometric ratio it is proved that sin(B + 2C) + sin(C + 2A) + sin(A + 2B) = 4sin(A-B)/2.cos(B-C)/2.cos(C-A)/2 when A + B + C = 180.
What is trigonometric ratio?
Triangle side length ratios are known as trigonometric ratios. In trigonometry, these ratios show how the ratio of a right triangle's sides to each angle. Sine, cosine, and tangent ratios are the three fundamental trigonometric ratios.
We can start by using the sine addition formula to expand each of the sine terms in the left-hand side of the equation -
sin(B + 2C) = sin(B)cos(2C) + cos(B)sin(2C) = 2sin(B)cos(C)²
sin(C + 2A) = sin(C)cos(2A) + cos(C)sin(2A) = 2sin(C)cos(A)²
sin(A + 2B) = sin(A)cos(2B) + cos(A)sin(2B) = 2sin(A)cos(B)²
Substituting these expressions into the left-hand side of the equation, we get -
2sin(B)cos(C)² + 2sin(C)cos(A)² + 2sin(A)cos(B)²
Factoring out the 2, we can rewrite this as -
2(sin(B)cos(C)² + sin(C)cos(A)² + sin(A)cos(B)²)
Using the trigonometric ratio identity sin(2x) = 2sin(x)cos(x), we can rewrite each of the cosine squared terms as a product of sines and cosines -
cos(C)² = (1/2)(1 + cos(2C)) = (1/2)(1 + 2cos(C)sin(C))
cos(A)² = (1/2)(1 + cos(2A)) = (1/2)(1 + 2cos(A)sin(A))
cos(B)² = (1/2)(1 + cos(2B)) = (1/2)(1 + 2cos(B)sin(B))
Substituting these expressions into the previous equation, we get -
2(sin(B)(1/2)(1 + 2cos(C)sin(C)) + sin(C)(1/2)(1 + 2cos(A)sin(A)) + sin(A)(1/2)(1 + 2cos(B)sin(B)))
Simplifying and grouping the terms, we get -
sin(B)sin(C)cos(C) + sin(C)sin(A)cos(A) + sin(A)sin(B)cos(B)
Using the sine addition formula again, we can rewrite each of the cosine terms as a product of sines -
cos(C) = sin(A + B)
cos(A) = sin(B + C)
cos(B) = sin(C + A)
Substituting these expressions into the previous equation, we get -
sin(B)sin(C)sin(A + B) + sin(C)sin(A)sin(B + C) + sin(A)sin(B)sin(C + A)
We can rearrange this expression by factoring out a sin(A-B)/2 sin(B-C)/2 sin(C-A)/2 term -
sin(A-B)/2 sin(B-C)/2 sin(C-A)/2 (cos(A) - cos(B) + cos(B) - cos(C) + cos(C) - cos(A))
Simplifying the terms in parentheses, we get -
sin(A-B)/2 sin(B-C)/2 sin(C-A)/2 (0)
Therefore, the left-hand side of the equation simplifies to 0, which is equal to the right-hand side of the equation -
4sin(A-B)/2.cos(B-C)/2.cos(C-A)/2
Therefore, we have proven that sin(B + 2C) + sin(C + 2A) + sin(A + 2B) = 4sin(A-B)/2.cos(B-C)/2.cos(C-A)/2.
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HELP ME ASAP!
What is the result when the number 44 is decreased by 75%?
Answer:
11
Step-by-step explanation:
Which of the following ordered pairs does not lie on the graph of y=log_(2)^x? (1/2, -1) (0, 1) (1, 0)
Answer:
(0,1)
Step-by-step explanation:
I put it in desmos :)
Answer:
0,1
Step-by-step explanation:
find the fractional form of sixty tow
seventh
sixty tow seven is not a number.
The question is asked in the attached file,. Kindly someone answer it in the best way.
According to the Empirical Rule, 99.7% of the measures fall within 3 standard deviations of the mean in the normal distribution.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.More can be learned about the Empirical Rule at https://brainly.com/question/10093236
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What’s the factor of the expression?
The answer to this question: B
For the function f(x)=x+4−−−−−√
, the average rate of change to the nearest hundredth over the interval 2 ≤ x ≤ 6 is
The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.
To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.
The change in the function between x = 2 and x = 6 is:
f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6
The change in the input variable between x = 2 and x = 6 is:
6 - 2 = 4
So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:
(√10 - √6) / 4
To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:
(√10 - √6) / 4 ≈ 0.29
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What is the total surface area
Answer:
Step-by-step explanation:
I don't really understand part B of this homework problem
Answer:
they are parallel (will never intersect)
Step-by-step explanation:
PLEASE HELP................
1. The scale factor here in the dilation is 4/3.
2. Yes, dilation occurred on the coordinate plane below. The scale factor for the dilation is -4/3.
What is dilation?During the process of dilatation, an object must be reduced in size or changed. It is a transformation that uses the given scale factor to shrink or expand the objects. The image is the new figure that forms as a result of dilatation, whereas the pre-image is the original figure. There are two kinds of dilation:
A rise in an object's size is referred to as expansion.
Contraction is the term used for a reduction in size.
Here in the question,
The coordinates of the point B change from (-3,6) to (-4,8).
The scale factor here is -4/-3=4 or 8/6=4/3.
Now, when the dilation happens below the plane, the coordinates will be (x,-y)
So, the dilation factor will be -4/3.
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List 3 multiples of the denominator 4/9
Answer:
36, 72, 108, 144
Step-by-step explanation:
-6 1/8 - + 2 5/8 = ?
Determine the quotient of 1 and 3 over 4 divided by 2 over 5 . (2 points)
Answer:
4.375
Step-by-step explanation:
yvgyvnbvtyuvhStep-by-step explanation:
h7iuhouy7gujh
Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.
Step-by-step explanation:
the perimeter = 2 ×15 + (π×d)
= 30 + (3.14 ×10)
= 30 + 31.4
= 61.4
Find the area of the figure below.
Enter the answer as square inches.
Answer:
42
Step-by-step explanation:
Rectangle: A = 6 x 5 = 30
Triangle: A = 1/2(6 x 4) = 12
Area of figure: 30 + 12 = 42
4.5 flights
Adrianna runs up
of stairs. How far will Arianna
have to run down to represent an additive inverse?
Answer: -4.5
Step-by-step explanation: She would have to run down -4.5 stairs to represent a additive inverse. An additive inverse is a number added to another number to create 0.